Is the reflection in the x-axis, y-axis or neither

Mathematics

1 answer:

kykrilka [37]3 years ago

4 0

Reflection over the y-axis

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Perform the following division (-1/6) ¥(3/7)

andriy [413]

Answer: (-1/6)/(3/7)= - 7/18

Solution:

(-1/6)/(3/7)=-(1/6)(7/3)=-[(1)(7)]/[(6)(3)]=-7/18

3 0

4 years ago

From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s

Mnenie [13.5K]

<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.
The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

60 out of 100 scores are passing scores, hence $n = 100, \pi = \frac{60}{100} = 0.6$

95% confidence level

So $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so $z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7$

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.
The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

5 0

3 years ago

Please look at the image for the question

olasank [31]

Answer:

Option 1: y + 5 = ½(x - 2)

Step-by-step explanation:

First, you need to find the slope. the formula to find the slope from two points is $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ and if you plug in the points it will be $\frac{-4 - (-5)}{4 - 2}$ which is $\frac{1}{2}$ .